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Finding the Fourth Proportional to 727.81, 1,092.10 and 398.98

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Solution

The fourth proportional to 727.81, 1,092.10 and 398.98 is: 598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.81 : 1,092.10 = 398.98 : x
  2. Step 2: Convert to fraction form
    727.81/1,092.10 = 398.98/x
  3. Step 3: Cross multiply
    727.81x = 1,092.10 × 398.98
  4. Step 4: Simplify right side
    727.81x = 435,726.06
  5. Step 5: Solve for x
    x = 435,726.06/727.81
  6. Step 6: Final answer
    x = 598.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.